Which of the following graphs represents the equation? Thanks for your help!

Question 1

Which of the following graphs represents the equation? Thanks for your help!-example-2

Which of the following graphs represents the equation? Thanks for your help!-example-3

Which of the following graphs represents the equation? Thanks for your help!-example-4

Question 2

$\begin{gathered} We\text{ are asked to find the graph that matches the following equation of an elipse: } \\ ((x-3)^2)/(9)+((y-2)^2)/(4)=1 \end{gathered}$
$\begin{gathered} An\text{ elispse will be in the form:} \\ ((x-h)^2)/(a^2)+((y-2)^2)/(b^2) \\ For\text{ an elipse, } \\ a>b\text{ always. Since the larger number is under the x}^2\text{ term, we can conclude that we have a horizontal elipse.} \end{gathered}$

Furthermore, we have that the center of the graph is found at (3,2)

The correct option is therefore option B

Which of the following graphs represents the equation? Thanks for your help!

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